The semilocal convergence properties of a variant of Chebyshev iteration method for nonlinear operator equations were studied under the hypothesis that the first derivative satisfied some mild differentiability conditions.

The optimal parameters calculated with SSOR method and Chebyshev demi-iteration method are obtained for some typical finite difference schemes of two dimensional Poisson s equations.

Convergence theorem for the Chebyshev iteration under weak condition;

The Chebyshev iteration is one of the most used techniques for improving the extreme eigenvalue′s con.

The preconditioned Chebyshev optimal iteration;

The Scissors Iteration Method for Intersection between NURBS and Circular Arc;

The cross iteration method on the intersection of two conicoids in CAD/CAM system;

Using iteration to calculate square root with given accuracy;

Calculating the pressure in sealed annulus in oil well by iterative method;

Determination of Potier reactance X_p from the iterative method;

Application of gathering statistics iterative method to the offering of courses of computer;